Mathematics

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Mathematics

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    Stability Analysis of Disease Free Equilibrium (DFE) State of a Mathematical Model of Yellow Fever Incorporating Secondary Host
    (Pacific Journal of Science and Technology, 2017-11-20) Somma, Samuel Abu; Akinwande, N. I.; Jiya, M.; Abdulrahaman, S.
    In this paper we formulate a mathematical model of yellow fever incorporating secondary host. We obtained the Disease Free Equilibrium (DFE) Points and compute the basic reproduction number. The local and global stability of the DFE was analyzed using Jacobian Matrix stability techniques and Lyapunov function respectively. The local and global stability was asymptotically stable if 1 0 R  and 1 0 R  , respectively. The basic reproduction number and control parameters of the model were presented graphically.
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    Semi-Analytical Solution for the Mathematical Modeling of Yellow Fever Dynamics Incorporating Secondary Host
    (Communication in Mathematical Modeling and Applications, 2019-04-15) Somma, Samuel Abu; Akinwande, N. I.; Abah, R. T.,; Oguntolu, F. A.; Ayegbusi, F. D.
    In this paper we use Differential Transformation Method (DTM) to solve the mathematical modeling of yellow fever dynamics incorporating secondary host. The DTM numerical solution was compared with the MAPLE RungeKutta 4-th order. The variable and parameter values used for analytical solution were estimated from the data obtained from World Health Organization (WHO) and UNICEF. The results obtained are in good agreement with Runge-Kutta. The solution was also presented graphically and gives better understanding of the model. The graphical solution showed that vaccination rate and recovery rate play a vital role in eradicating the yellow fever in a community.